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Finding the Fourth Proportional to 577,605.87, 866,224.53 and 198,435.15

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Solution

The fourth proportional to 577,605.87, 866,224.53 and 198,435.15 is: 297,589.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,605.87 : 866,224.53 = 198,435.15 : x
  2. Step 2: Convert to fraction form
    577,605.87/866,224.53 = 198,435.15/x
  3. Step 3: Cross multiply
    577,605.87x = 866,224.53 × 198,435.15
  4. Step 4: Simplify right side
    577,605.87x = 171,889,394,544.23
  5. Step 5: Solve for x
    x = 171,889,394,544.23/577,605.87
  6. Step 6: Final answer
    x = 297,589.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.